3499778304 has 216 divisors, whose sum is σ = 11657030112. Its totient is φ = 998031360.

The previous prime is 3499778291. The next prime is 3499778323. The reversal of 3499778304 is 4038779943.

3499778304 is a `hidden beast` number, since 3 + 499 + 77 + 83 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426787 + ... + 434909.

It is an arithmetic number, because the mean of its divisors is an integer number (53967732).

Almost surely, 2^3499778304 is an apocalyptic number.

3499778304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3499778304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828515056).

3499778304 is an abundant number, since it is smaller than the sum of its proper divisors (8157251808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3499778304 is a wasteful number, since it uses less digits than its factorization.

3499778304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8173 (or 8156 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3499778304 is about 59158.9241281482. The cubic root of 3499778304 is about 1518.2624281358.

It can be divided in two parts, 349977 and 8304, that added together give a triangular number (358281 = T₈₄₆).

The spelling of 3499778304 in words is "three billion, four hundred ninety-nine million, seven hundred seventy-eight thousand, three hundred four".